Finding the Third Proportional to 20,123 and 31,830

Step by Step Solution

1. Step 1: Write the proportion equation
   20,123 : 31,830 = 31,830 : x
2. Step 2: Convert to fraction form
   20,123/31,830 = 31,830/x
3. Step 3: Cross multiply
   20,123x = 31,830 × 31,830
4. Step 4: Simplify right side
   20,123x = 1,013,148,900
5. Step 5: Solve for x
   x = 1,013,148,900/20,123
6. Step 6: Final answer
   x = 50,347.81